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Finding the Fourth Proportional to 206,176.32, 309,324.42 and 86,289.84

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Solution

The fourth proportional to 206,176.32, 309,324.42 and 86,289.84 is: 129,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,176.32 : 309,324.42 = 86,289.84 : x
  2. Step 2: Convert to fraction form
    206,176.32/309,324.42 = 86,289.84/x
  3. Step 3: Cross multiply
    206,176.32x = 309,324.42 × 86,289.84
  4. Step 4: Simplify right side
    206,176.32x = 26,691,554,709.89
  5. Step 5: Solve for x
    x = 26,691,554,709.89/206,176.32
  6. Step 6: Final answer
    x = 129,459.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.